Question

The following percent (22%) can also be written as:

-22/1
-100/22
-22/100
-1/22
-22.0
-0.22
Select all the correct answers.

Answer 1

22% can be written as

22/100

0.22

Answer 2

`\LARGE\mathsf{(22)/(100)}` , 0.22

Explanation:

Correct Options:

22% can be expressed in different ways:

Fraction Form:
`\LARGE\mathsf{(22)/(100)}`

Decimal Form:

Fraction from to decimal form: Divide the numerator by the denominator: ⇒ 22 ÷ 100 = 0.22

Percentage to decimal: Move the decimal point two places to the left, which results in: 0.22.

Incorrect options:

`\LARGE\mathsf{(100)/(22)}`,
`\LARGE\mathsf{(1)/(22)}`,
`\LARGE\mathsf{(22)/(1)}`, and 22.0.

• 
  `\LARGE\mathsf{(100)/(22)}` is incorrect because if you divide the numerator by the denominator, it results in a quotient of:
  `\LARGE\mathsf{(100)/(22)\:=4.\overline{54}}`. Obviously, it is not the same as 22% or 0.22.
• 
  `\LARGE\mathsf{(1)/(22)}` is also incorrect because if you divide the numerator by the denominator, it results in a quotient of:
  `\LARGE\mathsf{(1)/(22)\:=\:0.\overline{45}}`.

• 22.0 and
  `\LARGE\mathsf{(22)/(1)}` are both incorrect because they represent whole numbers.
  `\LARGE\mathsf{(22)/(1)\:=\:22.0\:=\:22}`.
• In contrast, 0.22 is simply a portion out of a whole. Converting these decimal expressions to percentage:

22.0 × 100% = 2,200%

0.22 × 100% = 22%

Therefore, the correct answers are:
`\LARGE\mathsf{(22)/(100)}` and 0.22.